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Finding the Third Proportional to 23,313 and 50,764.50

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Solution

The third proportional to 23,313 and 50,764.50 is: 110,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313 : 50,764.50 = 50,764.50 : x
  2. Step 2: Convert to fraction form
    23,313/50,764.50 = 50,764.50/x
  3. Step 3: Cross multiply
    23,313x = 50,764.50 × 50,764.50
  4. Step 4: Simplify right side
    23,313x = 2,577,034,460.25
  5. Step 5: Solve for x
    x = 2,577,034,460.25/23,313
  6. Step 6: Final answer
    x = 110,540.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.